Stochastic response analysis of noisy system with non-negative real-power restoring force by generalized cell mapping method

摘要

The stochastic response of a noisy system with non-negative real-power restoring force is investigated.The generalized cell mapping(GCM) method is used to compute the transient and stationary probability density functions(PDFs).Combined with the global properties of the noise-free system,the evolutionary process of the transient PDFs is revealed.The results show that stochastic P-bifurcation occurs when the system parameter varies in the response analysis and the stationary PDF evolves from bimodal to unimodal along the unstable manifold during the bifurcation.